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54334020 = 223513411699
BaseRepresentation
bin1100111101000…
…1001001000100
310210020110021010
43033101021010
5102402142040
65220322220
71226555136
oct317211104
9123213233
1054334020
1128740a54
1216243370
13b345010
147305056
154b83e80
hex33d1244

54334020 has 96 divisors (see below), whose sum is σ = 167932800. Its totient is φ = 13040640.

The previous prime is 54334003. The next prime is 54334031. The reversal of 54334020 is 2043345.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31131 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (1749300).

Almost surely, 254334020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83966400).

54334020 is an abundant number, since it is smaller than the sum of its proper divisors (113598780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54334020 is a wasteful number, since it uses less digits than its factorization.

54334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 54334020 is about 7371.1613738949. The cubic root of 54334020 is about 378.7540447672.

Adding to 54334020 its reverse (2043345), we get a palindrome (56377365).

It can be divided in two parts, 5433 and 4020, that added together give a triangular number (9453 = T137).

The spelling of 54334020 in words is "fifty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 1699 2132 2460 2665 3198 3398 5097 5330 6396 6796 7995 8495 10194 10660 15990 16990 20388 22087 25485 31980 33980 44174 50970 66261 69659 88348 101940 110435 132522 139318 208977 220870 265044 278636 331305 348295 417954 441740 662610 696590 835908 905567 1044885 1325220 1393180 1811134 2089770 2716701 3622268 4179540 4527835 5433402 9055670 10866804 13583505 18111340 27167010 54334020